3 citations · 11 across the 30 of their papers we have counts for
7 papers · 2 filters
Singular Yamabe problem for scalar flat metrics on the sphere
Aram Karakhanyan
Let be a domain on the unit -sphere and the standard metric of , . We show that there exists a conformal metric with v…
-surfaces with free boundaries
Hayk Aleksanyan, Aram L. Karakhanyan
A well-known question in classical differential geometry and geometric analysis asks for a description of possible boundaries of -surfaces, which are smooth, compact hypersurfac…
Remarks on the thin obstacle problem and constrained Ginibre ensembles
Aram L. Karakhanyan
We consider the problem of constrained Ginibre ensemble with prescribed portion of eigenvalues on a given curve and relate it to a thin obstacle problem. The…
A geometric approach to regularity for nonlinear free boundary problems with finite Morse index
Aram L. Karakhanyan
Let be a weak solution of the free boundary problem where is a…
New trends in free boundary problems
Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci
We present a series of recent results on some new classes of free boundary problems. Differently from the classical literature, the problems considered have either a "nonlocal" fea…
Capillary surfaces arising in singular perturbation problems
Aram L. Karakhanyan
In this paper we prove Bernstein type theorems for a class of stationary points of the Alt-Caffarelli functional in and .